One-dimensional two-component Bose gas and the algebraic Bethe ansatz

Understand

We apply the nested algebraic Bethe ansatz to a model of one-dimensional two-component Bose gas with delta-function repulsive interaction.

• Using a lattice approximation of the L-operator we find Bethe vectors of the model in the continuous limit.
• We also obtain a series representation for the monodromy matrix of the model in terms of Bose fields.
• This representation allows us to study an asymptotic expansion of the monodromy matrix over the spectral parameter.